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Finding the Fourth Proportional to 149,954.67, 225,042.75 and 71,069.13

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Solution

The fourth proportional to 149,954.67, 225,042.75 and 71,069.13 is: 106,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,954.67 : 225,042.75 = 71,069.13 : x
  2. Step 2: Convert to fraction form
    149,954.67/225,042.75 = 71,069.13/x
  3. Step 3: Cross multiply
    149,954.67x = 225,042.75 × 71,069.13
  4. Step 4: Simplify right side
    149,954.67x = 15,993,592,455.31
  5. Step 5: Solve for x
    x = 15,993,592,455.31/149,954.67
  6. Step 6: Final answer
    x = 106,656.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.